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1098640368 = 243372174371
BaseRepresentation
bin100000101111011…
…1110101111110000
32211120021201021000
41001132332233300
54222222442433
6301003402000
736140201100
oct10136765760
92746251230
101098640368
11514176851
12267b23300
131467c5b77
14a5ca7200
15666b8113
hex417bebf0

1098640368 has 480 divisors, whose sum is σ = 4030456320. Its totient is φ = 284497920.

The previous prime is 1098640349. The next prime is 1098640381. The reversal of 1098640368 is 8630468901.

1098640368 is a `hidden beast` number, since 109 + 86 + 403 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15473773 + ... + 15473843.

It is an arithmetic number, because the mean of its divisors is an integer number (8396784).

Almost surely, 21098640368 is an apocalyptic number.

1098640368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1098640368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015228160).

1098640368 is an abundant number, since it is smaller than the sum of its proper divisors (2931815952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1098640368 is a wasteful number, since it uses less digits than its factorization.

1098640368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1098640368 is about 33145.7443422229. The cubic root of 1098640368 is about 1031.8546306868.

The spelling of 1098640368 in words is "one billion, ninety-eight million, six hundred forty thousand, three hundred sixty-eight".